Determine the relation between the accelerations? Please provide your steps for finding the answer?

Mar 8, 2018

See below.

Explanation:

Imposing a vertical acceleration on ${m}_{A}$ as a consequence, due to kinematic restrictions, we have

${a}_{2}^{2} = {a}_{x}^{2} + {a}_{1}^{2}$

with

${a}_{1} / {a}_{x} = \tan \theta$

hence

${a}_{2}^{2} = {a}_{1}^{2} / {\sin}^{2} \left(\theta\right)$